Re: [PrimeNumbers] prime k-tuples
- --- Tom <tom@...> wrote:
> The latest info has been posted.Can you briefly explain what the 'last occurance' represents. First occurance
> Current information shows the difference growing
> at a rate of one additional prime every increase
> of 267 in width when looked at as a linear best fit,
> but the growth rate is tending to be concave up.
> A plot of k(width)-pi(width) versus width is at
> were k(width) is the number of primes in a interval.
> A list of first occurances (width) is at
seems obvious, assuming it's the smallest w such that a tuple of with w can be
found where k(w)-pi(w) takes the stated value, k(w) being the count of slots in
the tuple. Is the last occurance simply the w such that all larger w have a
currently known tuple with the stated delta?
That graph has a wonderful hockey-stick shape. I can think of no heuristic
which would suggest that it either ought to be asymptotically linear, or
concave up. Convex up would, however, surprise me, but again I couldn't explain
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